- My CV in pdf is here

- Most of my recent papers are posted on ArXiv. Here’s a listing with active links. The papers that you will find there are listed below.
- Statistical Stability for Barge-Martin attractors derived from tent map, joint with Andre’ de Carvalho and Toby Hall
- Typical path components in tent map inverse limits, joint with Andre’ de Carvalho and Toby Hall
- Natural extensions of unimodal maps: prime ends of planar embeddings and semi-conjugacy to sphere homeomorphisms, joint with Andre’ de Carvalho and Toby Hall
- Itineraries for Inverse Limits of Tent Maps: a Backward View, joint with Andre’ de Carvalho and Toby Hall, Topology Appl. 232 (2017), 1–12.
- Geometric representation of the infimax S-adic family, joint with William Severa,
*Fund. Math.*, 240 (2018), 15-50 - New Rotation Sets in a Family of Torus Homeomorphisms, joint with Andre’ de Carvalho and Toby Hall,
*Invent. Math.*, 204 (2016), no. 3, 895–937. - On digit frequencies in ß-expansions, joint with Andre’ de Carvalho and Toby Hall,
*Transactions of the AMS*, Volume 368, Number 12, December 2016, Pages 8633–8674. - Symbol ratio minimax sequences in the lexicographic order, joint with Andre’ de Carvalho and Toby Hall,
*Ergodic Theory and Dynamical Systems*, (2015), 35, 2371-2396, doi:10.1017/etds.2014. - Exponential growth in two-dimensional topological fluid dynamics,
*Procedia IUTAM,*Volume 7, Pages*107-116*, (2013), IUTAM Symposium on Topological Fluid Dynamics: Theory and Applications. Cambridge, UK - Inverse limits as attractors in parameterized families, joint with Andre’ de Carvalho and Toby Hall,
*Bull. Lond. Math. Soc.*45 (2013), no. 5, 1075–1085. - The entropy efficiency of point-push mapping classes on the punctured disk, joint with Jason Harrington,
*Algebr. Geom. Topol.*11 (2011), no. 4, 2265–2296. - On eigen-structures for pseudoAnosov maps.
- Transitivity of Surface Dynamics Lifted to Abelian Covers,
*Ergodic Theory and Dynamical Systems*,**29**, no. 5, (2009), 1417-1449. - The Burau estimate for the entropy of a braid by Gavin Band and Philip Boyland,
*Algebraic & Geometric Topology*,**vol. 7**, (2007), 1345-1378. - Semiconjugacies to angle-doubling,
*Proc. AMS*,**134**, (2006), no. 5, 1299–1307. - Relative Periodic Solutions of the Complex Ginzburg-Landau Equation, by Vanessa López, Philip Boyland, Michael T. Heath, Robert D. Moser,
*SIAM Journal on Applied Dynamical Systems*, Vol. 4, No. 4, (2005), pp. 1042-1075. - Dynamics of two-dimensional time-periodic Euler fluid flows,
*Topology and its Applications*,**152**, (2005), no. 1-2, 87–106. - Toplogical fluid mechanics of point vortex motions, with Mark Stremler and Hassan Aref,
*Physica D*,**175**, 69-95, 2003. - Isotopy Stability of Dynamics on Surfaces,
*Contemp. Math.*,**246**, 17-46, 1999. - Dynamical stability in Lagrangian systems, with Christopher Golé,
*Hamiltonian Systems with Three or More Degrees of Freedom*, C. Simó, editor, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer Acad. Publ., Dordrecht, Holland, 90–114, 1999. - Lagrangian systems on hyperbolic manifold, with Christopher Golé,
*Ergod. Th. & Dynam. Sys.*,**19,**1157–1173. 1999. - Dual billiards, twist maps, and impact oscillators,
*Nonlinearity,***9**, 1411–1438, 1996. - Weak disks of Denjoy minimal sets,
*Ergod. Th. & Dynam. Sys.*, 1**3**, 597–614, 1993

- The following papers are available directly from here
- Isotopy stable dynamics relative to compact invariant sets, with Toby Hall,
*Proceedings London Math. Soc.,***79**, 673–693, 1999. *New dynamical invariants on hyperbolic manifolds, Israel Jour. of Math*.,**119**, 253–289, 2000- Topological fluid dynamics of stirring, with H. Aref and M. Stremler,
*J. Fluid Mech.*,**403**, 277–304, 2000. - Fluid Mechanics and Mathematical Structures contained in
*An Introduction to the Geometry and Topology of Fluid Flows*(ed. R.L. Ricca), pp. 105-134. NATO-ASI Series: Mathematics. Kluwer, Dordrecht, The Netherlands (2001).

- Isotopy stable dynamics relative to compact invariant sets, with Toby Hall,